journal article·2017-03Open access

The influence of random microstructure on wave propagation through heterogeneous media

Yilang Song, Inna M. Gitman, William J. Parnell, Harm Askes

International Journal of Fracture· Volume 204· Issue 1

Abstract

In this paper the influence of mechanical and geometrical properties, both deterministic and stochastic in nature, of a heterogeneous periodic composite material on wave propagation has been analysed in terms of the occurrence of stop-bands. Numerical analyses have been used to identify those parameters that have the most significant effect on the wave filtering properties of the medium. A striking conclusion is that randomness in geometrical properties has a much larger effect than randomness in mechanical properties.
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Research context

OpenAlex topics: Acoustic Wave Phenomena Research · Ultrasonics and Acoustic Wave Propagation · Underwater Acoustics Research

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References (13)

Show source-provided references
1. Brillouin L (1946) Wave propagation in periodic structures. McGraw-Hill, New York
2. Kushwaha M, Djafari R (1998) Sonic stop-bands for periodic arrays of metallic rods: honeycomb structure. J Sound Vib 218(4):697–70910.1006/jsvi.1998.1839 ↗
3. Kushwaha M, Halevi P, Dobrzynski L, Djafari R (1993) Acoustic band structure of periodic elastic composites. Phys Rev Lett 71:2022–202510.1103/PhysRevLett.71.2022 ↗
4. Liu Z, Chan C, Sheng P, Goertzen A, Page J (2000) Elastic wave scattering by periodic structures of spherical objects: theory and experiment. Phys Rev B 62(4):2446(12)
5. Lu T, Gao G, Ma S, Jin F, Kim T (2009) Acoustic band gaps in two-dimensional square arrays of semi-hollow circular cylinders. Sci China Ser E-Tech Sci 52:303–31210.1007/s11431-009-0022-7 ↗
6. Maldovan M (2013) Sound and heat revolutions in phononics. Nature 503:209–21710.1038/nature12608 ↗
7. Sheng P (1995) Introduction to wave scattering, localization and mesoscopic phenomena. Academic Press, Cambridge
8. Sigalas M, Economou E (1994) Elastic waves in plates with periodically placed inclusions. J Appl Phys 75:2845–285010.1063/1.356177 ↗
9. Sigalas M, Kushwaha M, Economou E, Kafesaki M, Psarobas I, Steurer W (2005) Classical vibrational modes in phononic lattices: theory and experiment. Z Kristallogr 220:765–80910.1524/zkri.2005.220.9-10.765 ↗
10. Vasseur J, Djafari R, Dobrzynski L, Kushwaha M, Halevi P (1994) Complete acoustic band gaps in periodic fibre reinforced composite materials: the carbon/epoxy composite and some metallic systems. J Phys Condens 6:8759–877010.1088/0953-8984/6/42/008 ↗
11. Vasseur J, Deymier P, Chenni B, Djafari R, Dobrzynski L, Prevost D (2001) Experimental and theoretical evidence for the existence of absolute acoustic band gaps in two-dimensional solid phononic crystals. Phys Rev Lett 86:3012–301510.1103/PhysRevLett.86.3012 ↗
12. Vasseur J, Deymier P, Khelif A, Lambin P, Djafari R, Dobrzynski L, Akjouj A, Fettouhi N, Zemmouri J (2002) Phononic crystal with low filling fraction and absolute acoustic band gap in the audible frequency range: a theoretical and experimental study. Phys Rev Lett 65:056608
13. Yukihiro T, Yoshinobu T, Shin I (2000) Band structure of acoustic waves in phononic lattices: two-dimensional composites with large acoustic mismatch. Phys Rev B 62(11):7387(6)